What is the greatest volume you can get for a rectangular cuboid parcel if the maximum combined length and girth are 2 metres? An activity for high-attaining learners which involves making a new cylinder from a cardboard tube. These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. Can you find a way to do it? Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions. What are the possible areas of triangles drawn in a square? Thomas from Colet Court examined the eight shapes which were drawn on the cards.

Have a go at creating these images based on circles. Age 7 to 11 Challenge Level: Finally, it stimulates good conversation about the properties of squares and rectangles and challenges that common misconception that year 7s can posses, that a square is not a rectangle. What can you say about these shapes? How can you change the surface area of a cuboid but keep its volume the same? Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. These rectangles have been torn.

Ribbon Squares Age 7 to 11 Challenge Level: All 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level: How can you change the perimeter but keep the area the same?

# Area and Perimeter :

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. Exit tickets — Plenary idea.

What I like about this LO is that chances are, all solvkng my class are going to be able to do this. Cola Can Age 11 to 14 Challenge Level: Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. Register for our mailing list.

How many tiles do we need to tile these patios? This problem encourages students to use coordinates, area and isosceles triangles to solve a non-standard problem.

# Nrich – Can they be equal? – Mrs Mahoney

Explore one of these five pictures. As we approach the first maths GCSE exam of the year, just a reminder that last year I shared a aera of breakfast warm-ups that can be used either on the morning of the exams or in the lessons leading up to them.

Age 11 to 14 Challenge Level: An activity for high-attaining learners which involves making a new cylinder from a cardboard tube. If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

How can you change the area of a shape but keep its perimeter the same? Cylinder Cutting Age 7 to 11 Challenge Level: Place four pebbles on the sand in the form of a square. Completing Quadrilaterals Age 11 to 14 Challenge Level: Is there more than one?

Perimeter Challenge Age 11 to 14 Challenge Level: Shaping It Age 5 to 11 Challenge Level: Measure problems at primary level that may require resilience. Brush Loads Age 7 to 11 Challenge Level: Colourful Cube Adn 11 to 14 Challenge Level: To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Area and Perimeter Age 7 to 11 Challenge Level: Pebbles Age 7 to 11 Challenge Level: Can you work out how they arrived at these prices?

Thomas from Colet Court examined the eight shapes which were drawn on the cards. Use the information on these cards to draw the shape that is being described. Petimeter, Area and Volume – Stage 3. Through the Window Age 7 to 11 Challenge Level: Pythagoras for a Tetrahedron Age 16 to 18 Challenge Level: